On the Radius of Injectivity for Generalized Quasiisometries in the Spaces of Dimension Higher Than Two

• Date: 2015
• Main Authors: Gol'berg, A. L., Sevost'yanov, E. A., Гольберг, А. Л., Севостьянов, Е. А.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2015
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1972
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We consider a class of local homeomorphisms more general than the mappings with bounded distortion. Under these homeomorphisms, the growth of the p-module (n-1 < p ≤ n) of the families of curves is controlled by an integral containing an admissible metric and a measurable function Q. It is sh...